期刊
JOURNAL OF FLUID MECHANICS
卷 753, 期 -, 页码 535-552出版社
CAMBRIDGE UNIV PRESS
DOI: 10.1017/jfm.2014.380
关键词
drops; drops and bubbles; low-Reynolds-number flows
资金
- Croucher Foundation
- National Science Foundation [CBET1234500]
- Directorate For Engineering
- Div Of Chem, Bioeng, Env, & Transp Sys [1234500] Funding Source: National Science Foundation
The motion of a spherical drop with a bulk-insoluble surfactant immersed in a background flow in the limits of low surface Peclet number and low Reynolds number is investigated. We develop a reciprocal theorem that applies to any prescribed background flow and provide a specific example of an unbounded Poiseuille flow. Analytical formulas for the migration velocity of the drop are obtained perturbatively in powers of the surface Peclet number. We show that the redistribution of surfactant due to the background flow acts to retard the motion of the drop, with the magnitude of this slip velocity being independent of the drop's position in the Poiseuille flow. Moreover, a surfactant-induced cross-streamline migration of the drop occurs towards the centre of the Poiseuille flow, with its magnitude depending linearly on the distance of the drop from the centre of the Poiseuille flow.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据